Question

A merchant has 840kg of rice, part of which he sells at 9% profit and the rest at 16% profit. He must gain 12% profit on the whole. What is the quantity sold at 16% profit?

Answer 1

Answer:

Step-by-step explanation:

840*9/100==378/5

78.6

840*16/100=42*16/5=134.4

840*12/100=100.8

Answer 2

Answer:

360 kg

Step-by-step explanation:

Let the x part of 840 kg of rice is sell at 9% profit.

and rest is sell at 16% profit.

Then we get equation,

$x\times\dfrac{109}{100}+ (840-x)\times\dfrac{116}{100}=840\times\dfrac{112}{100}\\\\109x+(840-x)\times116 = 840\times112\\109x+97440-116x=94080\\7x=3360\\x= 480$

Thus, the quantity sold at 16% profit is 840 - 480 = 360 kg